Some bounds of the generalized μ-scrambling indices of primitive digraphs with d loops-Reference-Cited by-同舟云学术

Some bounds of the generalized μ-scrambling indices of primitive digraphs with d loops

Published:2021-07-26 Issue:1 Volume:2021 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Zhang Ling,Mou Gu-Fang,Liu Feng,Li Zhong-Shan

Abstract

AbstractIn 2010, Huang and Liu introduced a useful parameter called the generalized μ-scrambling indices of a primitive digraph. In this paper, we give some bounds for μ-scrambling indices of some primitive digraphs with d loops and the digraphs attained the sharp upper bounds are provided.

Funder

the Scientific and Technological Research Program of Chongqing Municipal Education Commission

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02667-y.pdf

Reference11 articles.

1. Akelbek, M., Fital, S., Shen, J.: A bound on the scrambling index of a primitive matrix using Boolean rank. Linear Algebra Appl. 431, 1923–1931 (2009)

2. Akelbek, M., Kirkland, S.: Coefficients of ergodicity and the scrambling index. Linear Algebra Appl. 430, 1111–1130 (2009)

3. Akelbek, M., Kirkland, S.: Primitive digraphs with the largest scrambling index. Linear Algebra Appl. 430, 1099–1110 (2009)

4. Brualdi, R.A., Ryser, H.J.: Combinatorial Matrix Theory. Cambridge University Press, Cambridge (1991)

5. Chen, S., Liu, B.: The scrambling index of symmetric primitive matrices. Linear Algebra Appl. 433, 1110–1126 (2010)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Upper Bounds of the Generalized Competition Indices of Symmetric Primitive Digraphs with d Loops;Symmetry;2023-07-02

2. The kth Local Exponent of Doubly Symmetric Primitive Digraphs with d Loops;Symmetry;2022-08-07

3. The Generalized Competition Indices of Doubly Symmetric Primitive Digraphs with d Loops;Symmetry;2022-06-09